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URN: urn:nbn:de:0030-drops-27247
URL: http://drops.dagstuhl.de/opus/volltexte/2010/2724/
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Eisenbrand, Friedrich ; Hähnle, Nicolai ; Razborov, Alexander ; Rothvoß, Thomas

Diameter of Polyhedra: Limits of Abstraction

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Abstract

We investigate the diameter of a natural abstraction of the $1$-skeleton of polyhedra. Even if this abstraction is more general than other abstractions previously studied in the literature, known upper bounds on the diameter of polyhedra continue to hold here. On the other hand, we show that this abstraction has its limits by providing an almost quadratic lower bound.

BibTeX - Entry

@InProceedings{eisenbrand_et_al:DSP:2010:2724,
  author =	{Friedrich Eisenbrand and Nicolai H{\"a}hnle and Alexander Razborov and Thomas Rothvo{\"s}},
  title =	{Diameter of Polyhedra: Limits of Abstraction},
  booktitle =	{Flexible Network Design},
  year =	{2010},
  editor =	{Anupam Gupta and Stefano Leonardi and Berthold V{\"o}cking and Roger Wattenhofer},
  number =	{10211},
  series =	{Dagstuhl Seminar Proceedings},
  ISSN =	{1862-4405},
  publisher =	{Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2010/2724},
  annote =	{Keywords: Polyhedra, Graphs}
}

Keywords: Polyhedra, Graphs
Seminar: 10211 - Flexible Network Design
Issue Date: 2010
Date of publication: 10.08.2010

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